Invariant curves and boundedness of solutions of a class of reversible systems |
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| Authors: | Xiaojing Yang Kueiming Lo |
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| Institution: | 1. Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China;2. School of Software, Tsinghua University, Beijing 100084, P. R. China |
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| Abstract: | In this paper, the boundedness of all solutions for the following planar reversible system Ju ′ = ?H (u) + G (u) + h (t) (1) is discussed, where the function H (u) ∈ C2(?2, ?+) is positive for u ≠ 0 and positively (q, p)‐quasihomogeneous of quasi‐degree pq, G ∈ C5 is bounded, h ∈ C6 is 2π ‐periodic and J is the standard symplectic matrix. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Invariant curves planar hamiltonian systems boundedness of solutions reversible systems |
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